Access the full text.
Sign up today, get DeepDyve free for 14 days.
DEMONSTRATIO MATHEMATICAVol. XVIINo 31984Stanislaw KusORTHONORMAL GEOMETRIC SEQUENCESAND THEIR Ζ TRANSFORMS1. IntrodactionBy me axis of -orfhonormal bases i t i s possible to solve•"Asimply the problem of the best approximation of the elementsof β Hilbert spaoe. On the other hand, in view of the development of the theory of d i s c r e t e dynamioal systems and of thed i g i t a l technique i t seems s u i t a2b l e t o construct an orthonormal base i n the Hilbert space 1 .Possible applications of t h i s bases f o r instance aretapproximation of s o l u t i o n of the system of l i n e a r d i f f e r e n c eequations or i d e n t i f i c a t i o n of disorete-time systems i n ooat r o l theory.In t h i s paper orthonormal bases are constructed whose e l e ments are l i n e a r oomblnätions of geometrio sequences. Thisbases are obtained by the transformation <z and orthonoroaliz a t i o n i n complex
Demonstratio Mathematica – de Gruyter
Published: Jul 1, 1984
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.